3164774400 has 504 divisors, whose sum is σ = 12121912764. Its totient is φ = 786432000.

The previous prime is 3164774323. The next prime is 3164774423. The reversal of 3164774400 is 44774613.

It is a happy number.

3164774400 is a `hidden beast` number, since 3 + 1 + 647 + 7 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2472873984 + 691900416 = 49728^2 + 26304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31334350 + ... + 31334450.

Almost surely, 2^3164774400 is an apocalyptic number.

3164774400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060956382).

3164774400 is an abundant number, since it is smaller than the sum of its proper divisors (8957138364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3164774400 is a wasteful number, since it uses less digits than its factorization.

3164774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3164774400 is about 56256.3276440971. The cubic root of 3164774400 is about 1468.1854606592.

The spelling of 3164774400 in words is "three billion, one hundred sixty-four million, seven hundred seventy-four thousand, four hundred".